I really need help on this math assignment it’s about probability and if work can be shown that would be great I will give 35 points

The number of weeks that it'll take Maru to fully pay off $43000 is 571.4 weeks.

From the information, Maru makes an initial down payment of $3000 then repays $70 per week and the total amount is $43000.

Let the number of weeks be represented as w.

This will be illustrated as:

3000 + (70 × w) = 43000

3000 + 70w = 43000

Collect like terms

70w = 43000 - 3000

70w = 40000

Divide

w = 40000 / 70

w = 571.4

The number of weeks is 571.4 weeks

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Answer:

I think it is $10.50 per hour. Hope this helps!!

Answer:

Step-by-step explanation:

Used properties:

Answer:

64

Step-by-step explanation:

Given expression:

[tex]5^{3 \log_54}[/tex]

Apply log rules to find the value of the given expression.

[tex]\textsf{Apply the log power law}: \quad n\log_ax=\log_ax^n[/tex]

[tex]\implies 5^{\log_54^3}[/tex]

[tex]\implies 5^{\log_564}[/tex]

[tex]\textsf{Apply\:the\;log\:rule}:\quad \:a^{\log _a\left(b\right)}=b[/tex]

[tex]\implies 5^{\log_564}=64[/tex]

The volume of the droplets in cubic meters would be = 1×10^-7 cubic meters.

Water droplets can be defined as the formation of small ball like structures with water due to the action of surface tension of liquid.

To convert cubic centimetres to cubic meters the following is carried out;

1 cubic meter = 1,000,000 cubic centimetres.

X cubic meters = 0.1 cubic centimetres

Make X cubic centimetres the subject of formula;

X cubic meters = 0.1× 1/1,000,000

X cubic meters = 1×10^-7.

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Assuming you meant to say [tex]\text{y} = (8/7)\text{x}[/tex] or [tex]\text{y} = \frac{8}{7}\text{x}[/tex], then yes this is a proportional equation.

This is because it is of the form y = kx where k = 8/7 is the constant of proportionality.

Answer:

Step-by-step explanation:

The value of x is equal to 10 and the exterior angle to angle d is equal to 141 degrees.Exterior AnglesTo solve this problem, we have to recall that the sum of angles in a triangle is equal to 180 degrees.Applying that formula here;But the exterior angle to angle D can be found assuming the angle lies on a straight line, then the sum of angle D and it's exterior angle would be equal to 180 degrees.Let y = exterior angleThe value of the exterior angle to d is equal to 141 degrees.Learn more on exterior angles here;brainly.com/question/17972372

In the interval June to August and December to February rainfall decreasing.

What is average number of days?

7 days make up a week, there are roughly 365 days in a year, and there are 24 hours in a day. By adding all of your numbers together and dividing by the total amount of numbers, you can arrive at an average. Thus, 132 is the average amount of time periods when joined together.

From the given graph, in the interval June to August and December to February the average number of days of rainfall are decreasing.

Hence, June to August and December to February rainfall decreasing.

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The range of this function f(x) = 3x + 9 is: B. {y | y > 9}.

In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.

This ultimately implies that, a range simply refers to the set of all possible output numerical values (real numbers), which are shown on the y-coordinate (y-axis) of a graph.

Based on the given function f(x) = 3x + 9, we can reasonably infer and logically deduce that the range of this function in interval notation is given by:

Range = [10, ∞]

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Answer:

Option 3

Step-by-step explanation:

[tex]-\frac{7}{5} =-\frac{14}{10} =-1.4[/tex]

[tex]-1\frac{3}{10} = -\frac{13}{10}=-1.3[/tex]

∴ ascending order of these rational numbers

[tex]=-1.5, -1.4, -1.3, -1.2[/tex]

[tex]= -1.5,-\frac{7}{5}, -1\frac{3}{10}, -1.2[/tex]

Answer:

x = -1

Step-by-step explanation:

6x +5 = -7x - 8

6x +7x = -8 -5

13x = -13

13/13 x = -13/13

x = -1

The largest possible volume V is  4000[tex]cm^3[/tex]

Given,

Volume of a box = length × breadth × height= l× b× h

In this case the box have a square base. i.e.,  l = b

Volume V = [tex]l^2[/tex] × h

We using the formula of Surface area

The surface area of a square box

S = 2(lb +lh+ bh)

S = 2([tex]l^2[/tex] + lh + lh) since l=b

S = 2([tex]l^2[/tex] + 2lh)

Also, Given that the box is open top.

S = [tex]l^2[/tex] +4lh

And Surface Area of the box is 1200cm^2

1200 = [tex]l^2[/tex] + 4lh ....1

Making h the subject of formula

h = (1200 - [tex]l^2[/tex])/4l .....2

Volume is given as

V = [tex]l^2[/tex] × h

V = [tex]l^2[/tex] ×(1200 - [tex]l^2[/tex])/4l

V = (1200l - [tex]l^3[/tex])/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - [tex]31^2[/tex])/4

dV/dl = (1200 - [tex]31^2[/tex])/4 = 0

[tex]31^2[/tex]= 1200

[tex]l^2[/tex] = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - [tex]l^2[/tex])/4l

h = (1200 - [tex]20^2[/tex])/4×20

h = (800)/80

h = 10cm

Hence, The largest possible volume V is ;

V = [tex]l^2[/tex] × h

V = [tex]20^2[/tex] × 10 = 4000[tex]cm^3[/tex]

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Answer:

Rewrite the equation as  w+ 2/5= 3/4

Move all terms not containing w to the right side of the equation.

so if u do that you should get your answer 7/20

Step-by-step explanation:

Answer:

you go <left 5 times and then go down 3 times

By using the exponential function The number of computer affected in 1 hour is 10000

What is exponential function?

A mathematical function with the formula f (x) = a^x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, which equates to roughly, is the exponential-function base that is most frequently encountered.

We are given a function V(t) = 100e^4.6052t,

We are asked to find the number of computer affected after one hour

To find that we have to substitute t =1 in the equation we get

V(t) = 100e^4.6052

V(t) = 10000

There will be approximately 10000 computers affected by the virus in one hour.

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By solving a system of equations we will see that the exponential function is:

g(x) = 122.347*(0.589)^x

We know that our function is of the form:

g(x) = a*(b)^x

We also know that g(3)=25 and g(7)=3, then we can write:

a*(b)^3 = 25

a*(b)^7 = 3

So we have a little system of equations.

Taking the quotient between the second and first equations we get:

(a*(b)^7)/(a*(b)^3) = 3/25

b^4 = 3/25

b = (3/25)^(1/4) = 0.589

Replacing that in the first equation we get:

a*(b)^3 = 25

a*(0.589)^3 = 25

a = 25/(0.589)^3 = 122.347

The exponential function is:

g(x) = 122.347*(0.589)^x

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The units price are:

Then brand A is the better option.

If you know that a set of N items has a price P, then the unit price is given by the quotient between the price and the number of items that you get, N.

For Brand A, we know that there are 25 spoons for $1.99, then in this case the unit price is:

a = $1.99/25 = $0.0796

For Brand B the set has 42 spoons for $3.89, then the unit price is:

b = $3.89/42 = $0.0926

So we can see that Brand A has a lower unit price, meaning that is a better option.

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Give the guy above me a brainliest!!

Answer: The correct answer is C) 30 gallons of gas

Step-by-step explanation:

Storage Tank Volume = 1680 Gallons

25 cars x 24 gallons = 600 gallons

35 trucks x 30 gallons = 1,050 gallons

Total gallons used = 1,050 + 600 = 1,650

Remaining gas = 1,680 - 1,650 = 30 gallons

Option C: 30 gallons of gas

Please remember to vote the answer as Brainliest if I earned it!

Answer:

C) 30 gallons of gas

Step-by-step explanation:

Total gallons of gas used by the cars:

⇒ 25 × 24 = 600 gallons

Total gallons of gas used by the trucks:

⇒ 35 × 30 = 1050 gallons

Total gallons of gas used by the cars and trucks:

⇒ 600 + 1050 = 1650 gallons

If the storage tank contained 1680 gallons of gas, then the number of gallons of gas left in the tank after the cars and trucks have filled their tanks is:

⇒ 1680 - 1650 = 30 gallons

The  expression G  is an integer when it's evaluated.

What is an integer?

A full number, not a fraction, that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer). Integer examples include: -5, 1, 5, 8

Negative numbers and all entire numbers are both considered integers. Accordingly, a set of integers can be formed by adding negative numbers as well as whole numbers.

Consider 9+(-3).

9+(-3)

Remove parenthesis

=9-3 = 6

6 is an integer.

So,  the  expression G  is an integer when it's evaluated.

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The measurement of each angle represented in terms of x is 156°

Here given the two angles : (13x-26)° and (9x+30)°.

We have to find each angle measurement.

From the given figure, it is clear that two angles are just vertically opposite angles.

So , we know that vertically angles are equal

So to find angles , we have to find x.

13x - 26 = 9x + 30

13x - 9x = 30 + 26

4x = 56

x = 56 / 4

x = 14

So the value of x = 14

Then we have to substitute the value of x in any of the given measurement.

By substituting x in (13x - 26)°

13 x 14 - 26

182 - 26

= 156

Similarly by substituting x in (9x + 30) °

9 x 14 + 30

= 126 + 30

= 156°

Therefore, the measurement  of each angle is 156°.

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The variable g has its value to be -4 on the given coordinate point

From the question, the points are given as

(g, -1) and (2, 5)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (g, -1) and (2, 5)

The slope of the line is given as

Slope = 3/2

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (g, -1) and (2, 5)

Substitute the known values in the above equation

So, we have the following equation

3/2 = (5 + 1)/(2 - g)

Evaluate the sum in the equation

This gives

3/2 = 6/2 - g

Cross multiply

So, we have

2(2 - g) = 12

Divide by 2

2 - g = 6

Make g the subject of the formula

g = 2 - 6

Evaluate the like terms

g = -4

Hence, the value of g of the line is -4

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Answer:

-2

Step-by-step explanation:

The component form of the resultant vector is <5, -4>

Let vector u be a displacement AB on the graph and let vector v be a displacement BC on the graph such that the sum of displacement AB and BC is equivalent to a single displacement AC on the graph. We can write this as:

AB + BC = AC

or writing the vector sum with small letters given,

u + v = w (Note: w = AC)

Given: vector u = <2, -5> and vector v (3, 1)

u + v = w

<2, -5> + <3, 1> = <2+3, -5+1> = <5, -4>

u + v = <5, -4>

Thus, the coordinates of the vector sum on the graph will be (5, -4)

Therefore, the resultant vector in component form is <5, -4>

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Using multiplication law of logarithm the value of logb 50 is 2.085

The logb 50 is rewritten in the multiples of 2, and 5 then laws of logarithm is applied to find the final answer

logb 50

= logb (2 * 5 * 5)

applying multiplication law of logarithm

= logb 2 + logb 5 + logb 5

= 0.401 + 0.842 + 0.842

= 2.085

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Answer:

Range is all real numbers.

Interval notation:

Range is

(-infinity,infinity)

Step-by-step explanation:

The range is all the y's on a graph of a function or all of the y's allowed to be used in an equation or able to be produced by the equation.

5x + 3y = 30

is a line. Except for a horizontal line, the range of any line is all real numbers. Somewhere on that line every single y value exists somewhere. You may put literally ANY value for y into that equation.

The range is all real numbers.

Answer:

A would save Brenda the most money

Step-by-step explanation:

The trigonometric identities are verified that they are true.

What are trigonometric expressions?

Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.

1. LHS = sec x [ sec x - cos x]+(sin x+ cos x)/sin x- cot x

       = sec²x - sec x cos x +(sin x+ cos x)/sin x - cos x/sin x

       = sec²x - cos x/cos x +(sin x+ cos x- cos x)/sin x

       = sec²x - 1 + sin x /sin x

       = sec²x - 1 +1

      = sec²x

      = RHS

2. LHS = cos (π-Θ)+ sin (π/2 + Θ)

           = - cos Θ + cos Θ

           = 0

          = RHS

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The rocket reaches its maximum height of 88 feet at 2.25 seconds after launch

The time

The function is given as

h(t) = -16t² + 72t + 7

To start with, we need to differentiate the function

h'(t) = -32t + 72

Next, we set the differentiated function to 0

-32t + 72 = 0

Next, we solve for the variable t

t = 2.25

This means that the time is 2.25 seconds

The maximum height

Recall that we have the value of t to be:

t = 2.25

Also, we have the equation to be

h(t) = -16t² + 72t + 7

So, we have

h(2.25) = -16(2.25)² + 72(2.25) + 7

Solve the expressions

h(2.25) = 88

This also means that the maximum height is 88 feet

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Answer: x=-1 & y=2

Step-by-step explanation:

x = -3y+5

^^^substitute this equation into x in the second equation

(-3y+5)+9 = 4y

-3y+14 = 4y

Add +3y on both sides

14 = 4y+3y

14 = 7y

divide both sides by 7

y = 2

substitute y into either equation (I'm doing the first one)

x = -3(2)+5

x = -6+5

x = -1

The recursive formula for the given Explicit formula is a₁ = 16 and aₙ = -90aₙ₋₁  , the correct option is (c) .

In the question ,

an explicit formula for the geometric sequence is given

that is aₙ = 16(-90)ⁿ⁻¹  ,

we know that the general explicit formula for the geometric sequence is given by

aₙ = a₁(r)ⁿ⁻¹

where aₙ is the nth term , r is the common ratio, a₁ is the first term of the sequence .

On comparing the given explicit formula with the general formula ,
we get ,

a₁ = 16

r = -90

So , the recursive formula is a₁ = 16 and aₙ = -90aₙ₋₁ .

Therefore, The recursive formula for the given Explicit formula is a₁ = 16 and aₙ = -90aₙ₋₁  , the correct option is (c) .

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The balance (future value) in Malik's account after 2 years of investing $7,550 at 1.95% compounded annually is $7,847.32.

The future value is the compounded present value of an investment or periodic deposit.

The future value can be determined using the FV formula, FV table, or an online finance calculator as below.

N (# of periods) = 2 years

I/Y (Interest per year) = 1.95%

PV (Present Value) = $7,550

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $7,847.32

Total Interest = $297.32

Thus, Malik's account balance (future value) after 2 years will be $7,847.32.

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